What is the Least Common Multiple of 42574 and 42580?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 42574 and 42580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42574 and 42580, than apply into the LCM equation.

GCF(42574,42580) = 2
LCM(42574,42580) = ( 42574 × 42580) / 2
LCM(42574,42580) = 1812800920 / 2
LCM(42574,42580) = 906400460

Least Common Multiple (LCM) of 42574 and 42580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42574 and 42580. First we will calculate the prime factors of 42574 and 42580.

Prime Factorization of 42574

Prime Factorization of 42580

Now multiplying the highest exponent prime factors to calculate the LCM of 42574 and 42580.

LCM(42574,42580) = 2² × 7¹ × 3041¹ × 5¹ × 2129¹
LCM(42574,42580) = 906400460